252435200 has 54 divisors (see below), whose sum is σ = 624832404. Its totient is φ = 100971520.

The previous prime is 252435137. The next prime is 252435247. The reversal of 252435200 is 2534252.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13322 + ... + 26121.

Almost surely, 2^252435200 is an apocalyptic number.

252435200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252435200 is an abundant number, since it is smaller than the sum of its proper divisors (372397204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252435200 is an equidigital number, since it uses as much as digits as its factorization.

252435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39469 (or 39450 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 252435200 is about 15888.2094648831. The cubic root of 252435200 is about 631.9993590764. Note that the first 3 decimals are identical.

Adding to 252435200 its reverse (2534252), we get a palindrome (254969452).

The spelling of 252435200 in words is "two hundred fifty-two million, four hundred thirty-five thousand, two hundred".